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  1. statistics - Choosing $H_0$ and $H_a$ in hypothesis testing ...

    H0 H 0 : p>= 0.3 p>= 0.3; Ha H a : p <0.3 p <0.3 With the rationale that H0 must include the equality, which in this case is greater or equal to 30%. Her solution than failed to reject the null …

  2. What is the probability of a null-hypothesis being True?

    Feb 11, 2021 · Can we say anything about the probability of H0 being true in such case? Since H0 and H1 are mutually exclusive, and in the case of not rejecting H0, the probability of H1 is …

  3. How old is the universe? - NASA

    Jul 21, 2023 · The Hubble constant (H0) is a measure of the current expansion rate of the universe. Cosmologists use this measurement to extrapolate back to the Big Bang, the …

  4. Why do we reject the null hypothesis if p-value can be defined as …

    Sep 20, 2022 · This means that if the p-value is very low, we have seen something so extreme that we wouldn't normally expect such a thing under the null hypothesis, and therefore we …

  5. Frequentist vs bayesian and P (data | H0) vs P (H0 - Cross Validated

    Jul 20, 2021 · I understand that I'm comparing expected values but, as far as I understood, in the z-test I'm getting the prob that H0 is true given the differences of means (and std), while in the …

  6. Hypothesis testing. Why center the sampling distribution on H0?

    Jun 24, 2016 · If one would instead use the sampling distribution of the statistic, i.e. center the distribution on the sample statistic, then hypothesis testing would correspond to estimating the …

  7. What follows if we fail to reject the null hypothesis?

    What conclusions can we draw if p> α p> α? Does not rejecting the H0 H 0 mean anything?

  8. hypothesis testing - Is it okay to interpret P values as a probability ...

    Jul 6, 2023 · A p-value is the probability of the observed data (or of more extreme data points), given that the null hypothesis H0 is true, defined in symbols as p (D|H0). On the same page, …

  9. t test - "Accept null hypothesis" or "fail to reject the null ...

    The real problem is that we really want to know the probability that H0 is true, which a frequentist test can't give us, so it is a good idea to avoid terminology that could be interpreted that way, I …

  10. Independent t-tests. One- or two-tailed? - Cross Validated

    For an independent t-test, if my hypothesis states there will be no significant difference between the two groups, is that a one- or two-tailed test?